Use the definition of Ax to write the vector equation as a matrix equation -2 + Z2 - 5 3 +Z4 2 4 Z1 + Z3 4

Use matrix algebra to show that for n x n matrices A,B,C and n x 1 vector b, if A and C are invertible and AB = C then the matrix equation Bx = b (for nx1 vector x) has solution x = C-¹Ab.

Find a non-zero 2 x 2 matrix such that Note: -7 28 -6 24 0 0 0 0 = [0 9]

Let A be an m x n matrix and let b and c be column vectors with n components. Express the dot product (Ab) * (Ac) as a product of matrices.